{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Power Control\n",
    "\n",
    "This tutorial demonstrates how to allocate transmission power on a per-user\n",
    "basis in a 3GPP-compliant multicell scenario in the uplink and downlink direction.\n",
    "- **Uplink**: Implemented by the [open_loop_uplink_power_control](https://nvlabs.github.io/sionna/sys/api/power_control.html#sionna.sys.open_loop_uplink_power_control) function.  \n",
    "  This follows the open-loop power allocation procedure in 3GPP TS 38.213 [[1]](#references), where\n",
    "  the transmit power partially compensate for the pathloss by a factor $\\alpha\\in[0;1]$ while\n",
    "  targeting a received power of $P_0$ [dBm];\n",
    "- **Downlink**: Handled by the [downlink_fair_power_control](https://nvlabs.github.io/sionna/sys/api/power_control.html#sionna.sys.downlink_fair_power_control) function.\n",
    "  This function maximizes a fairness function of the attainable throughput across the\n",
    "  users on a per-sector basis.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![power_control_notebook.png]()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Imports\n",
    "\n",
    "We start by importing Sionna and the relevant external libraries:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:13:04.213261Z",
     "iopub.status.busy": "2025-03-14T11:13:04.212732Z",
     "iopub.status.idle": "2025-03-14T11:13:06.715534Z",
     "shell.execute_reply": "2025-03-14T11:13:06.714522Z"
    }
   },
   "outputs": [],
   "source": [
    "import os\n",
    "os.environ['TF_CPP_MIN_LOG_LEVEL'] = '3'\n",
    "if os.getenv(\"CUDA_VISIBLE_DEVICES\") is None:\n",
    "    gpu_num = 0 # Use \"\" to use the CPU\n",
    "    if gpu_num!=\"\":\n",
    "        print(f'\\nUsing GPU {gpu_num}\\n')\n",
    "    else:\n",
    "        print('\\nUsing CPU\\n')\n",
    "    os.environ[\"CUDA_VISIBLE_DEVICES\"] = f\"{gpu_num}\"\n",
    "\n",
    "# Import Sionna\n",
    "try:\n",
    "    import sionna.sys\n",
    "except ImportError as e:\n",
    "    import sys\n",
    "    if 'google.colab' in sys.modules:\n",
    "       # Install Sionna in Google Colab\n",
    "       print(\"Installing Sionna and restarting the runtime. Please run the cell again.\")\n",
    "       os.system(\"pip install sionna\")\n",
    "       os.kill(os.getpid(), 5)\n",
    "    else:\n",
    "       raise e\n",
    "\n",
    "# Configure the notebook to use only a single GPU and allocate only as much memory as needed\n",
    "# For more details, see https://www.tensorflow.org/guide/gpu\n",
    "import tensorflow as tf\n",
    "tf.get_logger().setLevel('ERROR')\n",
    "gpus = tf.config.list_physical_devices('GPU')\n",
    "if gpus:\n",
    "    try:\n",
    "        tf.config.experimental.set_memory_growth(gpus[0], True)\n",
    "    except RuntimeError as e:\n",
    "        print(e)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:13:06.719668Z",
     "iopub.status.busy": "2025-03-14T11:13:06.719314Z",
     "iopub.status.idle": "2025-03-14T11:13:06.885924Z",
     "shell.execute_reply": "2025-03-14T11:13:06.885236Z"
    }
   },
   "outputs": [],
   "source": [
    "# Additional external libraries\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "# Sionna components\n",
    "from sionna.phy.utils import log2, dbm_to_watt, watt_to_dbm\n",
    "from sionna.phy.constants import BOLTZMANN_CONSTANT\n",
    "from sionna.phy.channel import GenerateOFDMChannel\n",
    "from sionna.phy.ofdm import ResourceGrid, RZFPrecodedChannel, \\\n",
    "    EyePrecodedChannel, LMMSEPostEqualizationSINR\n",
    "from sionna.phy.channel.tr38901 import UMi, PanelArray\n",
    "from sionna.phy.mimo import StreamManagement\n",
    "from sionna.sys import gen_hexgrid_topology, \\\n",
    "    downlink_fair_power_control, open_loop_uplink_power_control\n",
    "from sionna.sys.utils import spread_across_subcarriers, get_pathloss\n",
    "\n",
    "# Internal computational precision\n",
    "sionna.phy.config.precision = 'single'  # 'single' or 'double'\n",
    "\n",
    "# Set random seed for reproducibility\n",
    "sionna.phy.config.seed = 45"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Multicell scenario\n",
    "\n",
    "We first create a multicell 3GPP-compliant scenario on which power control will\n",
    "be performed in both the uplink and downlink directions.\n",
    "\n",
    "### Simulation Parameters\n",
    "\n",
    "We define the main simulation parameters, including the topology settings, OFDM\n",
    "resource grid, and transmission power for the base stations and user terminal."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:13:06.889820Z",
     "iopub.status.busy": "2025-03-14T11:13:06.889522Z",
     "iopub.status.idle": "2025-03-14T11:13:07.267694Z",
     "shell.execute_reply": "2025-03-14T11:13:07.266670Z"
    }
   },
   "outputs": [],
   "source": [
    "# Number of independent scenarios\n",
    "batch_size = 1\n",
    "\n",
    "# Number of rings of the spiral hexagonal grid\n",
    "num_rings = 1\n",
    "\n",
    "# Number of co-scheduled users per sector\n",
    "num_ut_per_sector = 5\n",
    "\n",
    "# OFDM resource grid\n",
    "num_ofdm_sym = 10\n",
    "num_subcarriers = 32\n",
    "subcarrier_spacing = 15e3  # [Hz]\n",
    "carrier_frequency = 3.5e9  # [Hz]\n",
    "\n",
    "# Base station and user terminal transmit power\n",
    "bs_max_power_dbm = 46  # [dBm]\n",
    "ut_max_power_dbm = 26  # [dBm]\n",
    "\n",
    "# Convert power to Watts\n",
    "ut_max_power = dbm_to_watt(ut_max_power_dbm)  # [W]\n",
    "bs_max_power = dbm_to_watt(bs_max_power_dbm)  # [W]\n",
    "\n",
    "# Environment temperature\n",
    "temperature = 294  # [K]\n",
    "# Noise power per subcarrier\n",
    "no = BOLTZMANN_CONSTANT * temperature * subcarrier_spacing\n",
    "\n",
    "# Max distance between user terminal and serving base station\n",
    "max_bs_ut_dist = 80  # [m]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Antenna patterns\n",
    "\n",
    "We create the antenna patterns for base stations and user terminals."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:13:07.271936Z",
     "iopub.status.busy": "2025-03-14T11:13:07.271723Z",
     "iopub.status.idle": "2025-03-14T11:13:07.293589Z",
     "shell.execute_reply": "2025-03-14T11:13:07.292783Z"
    }
   },
   "outputs": [],
   "source": [
    "# Create antenna arrays\n",
    "bs_array = PanelArray(num_rows_per_panel=3,\n",
    "                      num_cols_per_panel=2,\n",
    "                      polarization='dual',\n",
    "                      polarization_type='VH',\n",
    "                      antenna_pattern='38.901',\n",
    "                      carrier_frequency=carrier_frequency)\n",
    "\n",
    "ut_array = PanelArray(num_rows_per_panel=1,\n",
    "                      num_cols_per_panel=1,\n",
    "                      polarization='single',\n",
    "                      polarization_type='V',\n",
    "                      antenna_pattern='omni',\n",
    "                      carrier_frequency=carrier_frequency)\n",
    "\n",
    "num_ut_ant = ut_array.num_ant\n",
    "num_bs_ant = bs_array.num_ant"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Topology\n",
    "\n",
    "Next, we position base stations on a hexagonal grid according to a\n",
    "3GPP-compliant scenario and randomly distribute users uniformly in each sector.  \n",
    "\n",
    "For more details on the generation of the topology, see the [Hexagonal Grid Topology notebook](HexagonalGrid.ipynb)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:13:07.297696Z",
     "iopub.status.busy": "2025-03-14T11:13:07.297368Z",
     "iopub.status.idle": "2025-03-14T11:13:09.067480Z",
     "shell.execute_reply": "2025-03-14T11:13:09.066740Z"
    }
   },
   "outputs": [],
   "source": [
    "# Generate the spiral hexagonal grid topology\n",
    "topology = gen_hexgrid_topology(batch_size=batch_size,\n",
    "                                num_rings=num_rings,\n",
    "                                num_ut_per_sector=num_ut_per_sector,\n",
    "                                max_bs_ut_dist=max_bs_ut_dist,\n",
    "                                scenario='umi')\n",
    "\n",
    "ut_loc, bs_loc, *_ = topology\n",
    "\n",
    "# N. users and base stations\n",
    "num_bs = bs_loc.shape[1]\n",
    "num_ut = ut_loc.shape[1]\n",
    "\n",
    "# In the uplink, the user is the transmitter and the base station is the receiver\n",
    "num_rx, num_tx = num_bs, num_ut"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We set and compute the number of streams per user and base station, respectively."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:13:09.071663Z",
     "iopub.status.busy": "2025-03-14T11:13:09.071443Z",
     "iopub.status.idle": "2025-03-14T11:13:09.075770Z",
     "shell.execute_reply": "2025-03-14T11:13:09.075056Z"
    }
   },
   "outputs": [],
   "source": [
    "# Set number of streams per user\n",
    "num_streams_per_ut = num_ut_ant\n",
    "\n",
    "# Number of streams per base station\n",
    "num_streams_per_bs = num_streams_per_ut * num_ut_per_sector\n",
    "\n",
    "assert num_streams_per_ut <= num_ut_ant, \\\n",
    "    \"The # of streams per user must not exceed the # of its antennas\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Each receiver is associated with its serving base station."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:13:09.078969Z",
     "iopub.status.busy": "2025-03-14T11:13:09.078728Z",
     "iopub.status.idle": "2025-03-14T11:13:09.094875Z",
     "shell.execute_reply": "2025-03-14T11:13:09.094058Z"
    }
   },
   "outputs": [],
   "source": [
    "# For simplicity, each user is associated with its nearest base station\n",
    "\n",
    "# Uplink\n",
    "# RX-TX association matrix\n",
    "rx_tx_association_ul = np.zeros([num_rx, num_tx])\n",
    "idx_fair = np.array([[i1, i2] for i1 in range(num_rx) for i2 in\n",
    "                np.arange(i1*num_ut_per_sector, (i1+1)*num_ut_per_sector)])\n",
    "rx_tx_association_ul[idx_fair[:, 0], idx_fair[:, 1]] = 1\n",
    "\n",
    "# Instantiate a Stream Management object\n",
    "stream_management_ul = StreamManagement(rx_tx_association_ul, num_streams_per_ut)\n",
    "\n",
    "# Downlink\n",
    "# Receivers and transmitters are swapped wrt uplink\n",
    "rx_tx_association_dl = rx_tx_association_ul.T\n",
    "stream_management_dl = StreamManagement(rx_tx_association_dl, num_streams_per_bs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We create the channel model that will be used to generate the channel impulse responses: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:13:09.097674Z",
     "iopub.status.busy": "2025-03-14T11:13:09.097455Z",
     "iopub.status.idle": "2025-03-14T11:13:12.967387Z",
     "shell.execute_reply": "2025-03-14T11:13:12.966769Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Create channel model\n",
    "channel_model = UMi(carrier_frequency=carrier_frequency,\n",
    "                    o2i_model='low',  # 'low' or 'high'\n",
    "                    ut_array=ut_array,\n",
    "                    bs_array=bs_array,\n",
    "                    direction='uplink',\n",
    "                    enable_pathloss=True,\n",
    "                    enable_shadow_fading=True)\n",
    "\n",
    "channel_model.set_topology(*topology)\n",
    "channel_model.show_topology()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Channel\n",
    "\n",
    "Next, the channel frequency response is computed over the OFDM resource grid."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:13:12.970825Z",
     "iopub.status.busy": "2025-03-14T11:13:12.970612Z",
     "iopub.status.idle": "2025-03-14T11:13:14.328604Z",
     "shell.execute_reply": "2025-03-14T11:13:14.327593Z"
    }
   },
   "outputs": [],
   "source": [
    "# Set up the OFDM resource grid\n",
    "resource_grid = ResourceGrid(num_ofdm_symbols=num_ofdm_sym,\n",
    "                             fft_size=num_subcarriers,\n",
    "                             subcarrier_spacing=subcarrier_spacing,\n",
    "                             num_tx=num_ut_per_sector,\n",
    "                             num_streams_per_tx=num_streams_per_ut)\n",
    "\n",
    "# Instantiate the OFDM channel generator\n",
    "ofdm_channel = GenerateOFDMChannel(channel_model, resource_grid)\n",
    "\n",
    "# Generate the OFDM channel matrix in the uplink\n",
    "# [batch_size, num_rx=num_bs, num_rx_ant, num_tx=num_ut, num_tx_ant, num_ofdm_symbols, num_subcarriers]\n",
    "h_freq_ul = ofdm_channel(batch_size)\n",
    "\n",
    "# [batch_size, num_rx=num_ut, num_rx_ant, num_tx=num_bs, num_tx_ant, num_ofdm_symbols, num_subcarriers]\n",
    "h_freq_dl = tf.transpose(h_freq_ul, [0, 3, 4, 1, 2, 5, 6])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We conclude this section by scheduling users for transmission across the\n",
    "resource grid.  \n",
    "Note that only one slot is simulated. For more realistic simulations, a\n",
    "scheduler should be used. This is explained in more details in the [Proportional\n",
    "Fairness Scheduler notebook](https://nvlabs.github.io/sionna/sys/tutorials/Scheduling.html)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:13:14.331166Z",
     "iopub.status.busy": "2025-03-14T11:13:14.330955Z",
     "iopub.status.idle": "2025-03-14T11:13:14.337278Z",
     "shell.execute_reply": "2025-03-14T11:13:14.336393Z"
    }
   },
   "outputs": [],
   "source": [
    "# For simplicity, all users are allocated simultaneously on all resources\n",
    "is_scheduled = tf.fill([batch_size,\n",
    "                        num_bs,\n",
    "                        num_ofdm_sym,\n",
    "                        num_subcarriers,\n",
    "                        num_ut_per_sector,\n",
    "                        num_streams_per_ut],\n",
    "                       True)\n",
    "\n",
    "num_allocated_subcarriers = tf.fill([batch_size,\n",
    "                                     num_bs,\n",
    "                                     num_ofdm_sym,\n",
    "                                     num_ut_per_sector],\n",
    "                                     num_subcarriers)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Uplink power control\n",
    "\n",
    "According to the open-loop power control procedure defined in 3GPP TS 38.213\n",
    "[[1]](#references), the transmit power allocated to a user compensates the pathloss $PL$ from the\n",
    "serving base station by a factor\n",
    "$\\alpha\\in[0;1]$ while targeting a received power $P_0$ [dBm]:\n",
    "\n",
    "$P^{\\mathrm{UL}} = \\min \\{ P_0 + \\alpha PL + 10 \\log_{10}(\\mathrm{\\#PRB}), P^{\\mathrm{max}}_{\\mathrm{ut}}\\} \\quad \\mathrm{[dBm]}$\n",
    "\n",
    "where $P^{\\mathrm{max}}_{\\mathrm{ut}}$ [dBm] is the maximum transmit power for the terminal\n",
    "and $\\mathrm{\\#PRB}$ is the number of physical resource blocks allocated to the user. \n",
    "\n",
    "As a first step, we compute the pathloss for each user:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:13:14.339648Z",
     "iopub.status.busy": "2025-03-14T11:13:14.339338Z",
     "iopub.status.idle": "2025-03-14T11:13:14.374885Z",
     "shell.execute_reply": "2025-03-14T11:13:14.373894Z"
    }
   },
   "outputs": [],
   "source": [
    "_, pathloss_serving_cell = get_pathloss(\n",
    "        h_freq_ul,\n",
    "        rx_tx_association=tf.cast(rx_tx_association_ul, dtype=tf.int32))\n",
    "\n",
    "def group_by_bs(tensor):\n",
    "    tensor = tf.reshape(\n",
    "        tensor, [batch_size, num_bs, num_ut_per_sector, num_ofdm_sym])\n",
    "    # [batch_size, num_bs, num_ofdm_symbols, num_ut_per_sector]\n",
    "    return tf.transpose(tensor, [0, 1, 3, 2])\n",
    "\n",
    "# Group by base station\n",
    "# [batch_size, num_bs, num_ut_per_sector, num_ofdm_sym]\n",
    "pathloss_serving_cell = group_by_bs(pathloss_serving_cell)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The function [open_loop_uplink_power_control](../api/power_control.html#sionna.sys.open_loop_uplink_power_control) allocates the user power according\n",
    "to the procedure described above.  \n",
    "We wrap it into an XLA-compiled function that applies power control and computes\n",
    "the corresponding SINR."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:13:14.378050Z",
     "iopub.status.busy": "2025-03-14T11:13:14.377686Z",
     "iopub.status.idle": "2025-03-14T11:13:14.385180Z",
     "shell.execute_reply": "2025-03-14T11:13:14.384540Z"
    }
   },
   "outputs": [],
   "source": [
    "@tf.function(jit_compile=True)\n",
    "def get_sinr_uplink(h_freq,\n",
    "                    pathloss_serving_cell,\n",
    "                    alpha,\n",
    "                    p0_dbm,\n",
    "                    ut_max_power_dbm,\n",
    "                    num_allocated_subcarriers,\n",
    "                    is_scheduled):\n",
    "    \"\"\" Compute the uplink SINR \"\"\"\n",
    "\n",
    "    # Per-user uplink transmit power\n",
    "    # [batch_size, num_bs, num_ofdm_sym, num_ut_per_sector]\n",
    "    ul_power_per_ut = open_loop_uplink_power_control(\n",
    "        pathloss_serving_cell,\n",
    "        num_allocated_subcarriers,\n",
    "        alpha=alpha,\n",
    "        p0_dbm=p0_dbm,\n",
    "        ut_max_power_dbm=ut_max_power_dbm)\n",
    "\n",
    "    # Spread power uniformly across subcarriers\n",
    "    # [batch_size, num_bs, num_ut_per_sector, num_streams_per_ut, num_ofdm_sym,\n",
    "    #  num_subcarriers]\n",
    "    ul_power = spread_across_subcarriers(\n",
    "        ul_power_per_ut,\n",
    "        is_scheduled,\n",
    "        num_tx=num_ut_per_sector)\n",
    "\n",
    "    ul_power = tf.reshape(ul_power,\n",
    "                          [batch_size, num_ut, num_streams_per_ut,\n",
    "                           num_ofdm_sym, num_subcarriers])\n",
    "\n",
    "    # Compute SINR\n",
    "    precoded_channel = EyePrecodedChannel(resource_grid=resource_grid,\n",
    "                                          stream_management=stream_management_ul)\n",
    "    h_eff = precoded_channel(h_freq, tx_power=ul_power)\n",
    "    lmmse_posteq_sinr = LMMSEPostEqualizationSINR(resource_grid=resource_grid,\n",
    "                                                  stream_management=stream_management_ul)\n",
    "    # [batch_size, num_ofdm_symbols, num_effective_subcarriers, num_rx, num_streams_per_rx]\n",
    "    sinr = lmmse_posteq_sinr(h_eff, no=tf.cast(no, tf.float32), interference_whitening=True)\n",
    "    # [batch_size, num_ofdm_symbols, num_effective_subcarriers, num_ut, num_streams_per_ut]\n",
    "    sinr = tf.reshape(sinr, sinr.shape[:-2] + [num_ut, num_streams_per_ut])\n",
    "    return sinr, ul_power_per_ut\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Impact of parameters on system performance\n",
    "\n",
    "It is interesting to assess the impact of the two key uplink power design\n",
    "parameters ($\\alpha$ for pathloss \n",
    "compensation and $P_0$ for target received power) on system performance.  \n",
    "To this aim, we first compute the spectral efficiency distribution as $\\alpha$ and $P_0$ vary.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:13:14.387687Z",
     "iopub.status.busy": "2025-03-14T11:13:14.387385Z",
     "iopub.status.idle": "2025-03-14T11:13:26.660965Z",
     "shell.execute_reply": "2025-03-14T11:13:26.659931Z"
    }
   },
   "outputs": [],
   "source": [
    "def get_se(sinr):\n",
    "    \"\"\" Compute the spectral efficiency \"\"\"\n",
    "    se_per_ut = tf.reduce_sum(log2(1 + sinr), axis=[4])\n",
    "    # Average across OFDM symbols and subcarriers\n",
    "    return tf.reduce_mean(se_per_ut, axis=[1, 2])\n",
    "\n",
    "\n",
    "# Values of (alpha, P0) to evaluate\n",
    "alpha_vec = np.linspace(.5, 1, 50)\n",
    "p0_dbm_vec = np.arange(-110, -69, 1)\n",
    "\n",
    "# Per-user spectral efficiency per user across (alpha, P0) values\n",
    "se_per_ut_ul_mat = np.zeros([len(p0_dbm_vec), len(alpha_vec), num_ut*batch_size])\n",
    "ul_power_mat = np.zeros([len(p0_dbm_vec), len(alpha_vec), num_ut*batch_size])\n",
    "\n",
    "# Compute the spectral efficiency for each (alpha, P0) pair\n",
    "for idx_p0, p0_dbm in enumerate(p0_dbm_vec):\n",
    "    for idx_alpha, alpha in enumerate(alpha_vec):\n",
    "        # Compute SINR and UL power distribution\n",
    "        # sinr: [batch_size, num_ofdm_symbols, num_effective_subcarriers, num_ut,\n",
    "        #        num_streams_per_ut]\n",
    "        # ul_power_per_ut: # [batch_size, num_bs, num_ofdm_sym, num_ut_per_sector]\n",
    "        sinr, ul_power_per_ut = get_sinr_uplink(\n",
    "            h_freq_ul,\n",
    "            pathloss_serving_cell,\n",
    "            alpha,\n",
    "            p0_dbm,\n",
    "            ut_max_power_dbm,\n",
    "            num_allocated_subcarriers,\n",
    "            is_scheduled)\n",
    "\n",
    "        # Compute the spectral efficiency\n",
    "        se_per_ut_ul_mat[idx_p0, idx_alpha, :] = get_se(sinr).numpy().flatten()\n",
    "        # Power allocation\n",
    "        ul_power_mat[idx_p0, idx_alpha, :] = ul_power_per_ut.numpy().mean(axis=2).flatten()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To illustrate the impact of the design parameters $(\\alpha, P_0)$ on network\n",
    "performance, we evaluate the $x$-th percentile of the spectral efficiency distribution\n",
    "across users, that we want to maximize as a function of $(\\alpha, P_0)$.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:13:26.663639Z",
     "iopub.status.busy": "2025-03-14T11:13:26.663429Z",
     "iopub.status.idle": "2025-03-14T11:13:27.161382Z",
     "shell.execute_reply": "2025-03-14T11:13:27.160622Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 800x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xth_percentile = 10\n",
    "metric_mat = np.zeros([len(p0_dbm_vec), len(alpha_vec)])\n",
    "\n",
    "for idx_p0, p0_dbm in enumerate(p0_dbm_vec):\n",
    "    for idx_alpha, alpha in enumerate(alpha_vec):\n",
    "        metric_mat[idx_p0, idx_alpha] = np.nanpercentile(\n",
    "            se_per_ut_ul_mat[idx_p0, idx_alpha, :], xth_percentile)\n",
    "\n",
    "plt.figure(figsize=(8, 6))\n",
    "plt.imshow(metric_mat, aspect='auto')\n",
    "plt.colorbar()\n",
    "plt.ylabel(r'Target received power $P_0$ [dBm]')\n",
    "plt.xlabel(r'Pathloss compensation factor $\\alpha$')\n",
    "plt.title(f'{xth_percentile}-th percentile of user spectral efficiency [bps/Hz]')\n",
    "plt.yticks(np.arange(len(p0_dbm_vec)), p0_dbm_vec)\n",
    "plt.gca().invert_yaxis()\n",
    "show_every = 3\n",
    "plt.xticks(np.arange(0, len(alpha_vec), show_every), \n",
    "           [f'{alpha_vec[i]:.2f}' for i in range(0, len(alpha_vec), show_every)], rotation=45)\n",
    "plt.yticks(np.arange(0, len(p0_dbm_vec), show_every), \n",
    "           [p0_dbm_vec[i] for i in range(0, len(p0_dbm_vec), show_every)], rotation=45)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The result above arises from the fact that increasing either $\\alpha$ or $P_0$\n",
    "raises the intended received power at the base station, but also amplifies the\n",
    "interference to neighboring cells.  \n",
    "Hence, a trade-off between these two\n",
    "parameters is necessary to optimize system performance."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It is also interesting to evaluate the distribution of the power allocation\n",
    "across users."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:13:27.163871Z",
     "iopub.status.busy": "2025-03-14T11:13:27.163548Z",
     "iopub.status.idle": "2025-03-14T11:13:27.464457Z",
     "shell.execute_reply": "2025-03-14T11:13:27.463681Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def get_cdf(values):\n",
    "    \"\"\"\n",
    "    Computes the Cumulative Distribution Function (CDF) of the input\n",
    "    \"\"\"\n",
    "    values = np.array(values).flatten()\n",
    "    n = len(values)\n",
    "    sorted_val = np.sort(values)\n",
    "    cumulative_prob = np.arange(1, n+1) / n\n",
    "    return sorted_val, cumulative_prob\n",
    "\n",
    "alpha_po_vec = [(.9, -100), (1., -100), (.9, -80)]\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "for alpha, po in alpha_po_vec:\n",
    "    idx_p0, idx_alpha = np.argmin(np.abs(p0_dbm_vec - po)), np.argmin(np.abs(alpha_vec - alpha))\n",
    "    ax.plot(*get_cdf(ul_power_mat[idx_p0, idx_alpha, :]*1e3), \n",
    "            label=fr'$\\alpha=${alpha_vec[idx_alpha]:.2f}, $P_0$={p0_dbm_vec[idx_p0]}')\n",
    "\n",
    "ax.plot([dbm_to_watt(ut_max_power_dbm)*1e3]*2, [0, 1], 'k--', label='max UT power')\n",
    "ax.set_xlabel('Per-user uplink transmit power [mW]')\n",
    "ax.set_ylabel('CDF')\n",
    "ax.legend()\n",
    "ax.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As expected, an increase of either the pathloss compensation factor $\\alpha$ or the target received\n",
    "power $P_0$ leads to a higher power allocation, which eventually saturates at\n",
    "the maximum transmit power for the user terminal."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Downlink power control\n",
    "\n",
    "In the downlink, the base station distributes the per-resource transmit power\n",
    "$p_u$ across different users $u=1,\\dots,P$.\n",
    "\n",
    "The function [downlink_fair_power_control](../api/power_control.html#sionna.sys.downlink_fair_power_control) maximizes a fairness\n",
    "function $g^{(f)}$ defined as in [[2]](#references) of the maximum attainable throughput:\n",
    "$$\n",
    "\\mathbf{p}^* = \\operatorname{argmax}_{\\mathbf{p}} \\, \\sum_{u=1}^{U} g^{(f)}\n",
    "\\big( r_u \\log( 1 + p_u q_u) \\big)\n",
    "$$\n",
    "\n",
    "where $q_u$ is a measure of the channel quality for user $u$ and $r_u$ is the\n",
    "number of allocated resources for $u$.\n",
    "\n",
    "The base station transmit power must not exceed $P^{\\mathrm{max}}_{\\mathrm{bs}}$:\n",
    "$$\n",
    "\\sum_{u=1}^U r_u p_u = P^{\\mathrm{max}}_{\\mathrm{bs}}\n",
    "$$\n",
    "\n",
    "Moreover, to ensure that all scheduled users obtain a positive throughput, we can impose a lower bound on the individual allocated powers:\n",
    "$$\n",
    "r_u p_u \\ge \\rho \\frac{P^{\\mathrm{max}}_{\\mathrm{bs}}}{U} , \\quad \\forall \\, u=1,\\dots,U\n",
    "$$\n",
    "where $0\\le \\rho \\le 1$. Note that if $\\rho=1$, then all users obtain the same\n",
    "power allocation."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To estimate the channel quality for each user, we compute the pathloss from the\n",
    "serving cell and the interference from all neighboring cells."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:13:27.466915Z",
     "iopub.status.busy": "2025-03-14T11:13:27.466711Z",
     "iopub.status.idle": "2025-03-14T11:13:27.488832Z",
     "shell.execute_reply": "2025-03-14T11:13:27.488061Z"
    }
   },
   "outputs": [],
   "source": [
    "# Pathloss\n",
    "# [batch_size, num_ut, num_bs, num_ofdm_symbols], [batch_size, num_ut, num_ofdm_symbols]\n",
    "pathloss_all_pairs, pathloss_serving_cell = get_pathloss(\n",
    "    h_freq_dl,\n",
    "    rx_tx_association=tf.cast(rx_tx_association_dl, dtype=tf.int32))\n",
    "\n",
    "# Interference from all base stations\n",
    "# [batch_size, num_ut, num_ofdm_symbols]\n",
    "one = tf.cast(1, pathloss_serving_cell.dtype)\n",
    "interference_dl = tf.reduce_sum(\n",
    "    one / pathloss_all_pairs, axis=-2) - one / pathloss_serving_cell\n",
    "interference_dl *= bs_max_power\n",
    "\n",
    "# Group by base station\n",
    "# [batch_size, num_bs, num_ut_per_sector, num_ofdm_sym]\n",
    "pathloss_serving_cell = group_by_bs(pathloss_serving_cell)\n",
    "interference_dl = group_by_bs(interference_dl)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Impact of parameters on system performance\n",
    "\n",
    "The downlink power allocation procedure in [downlink_fair_power_control](../api/power_control.html#sionna.sys.downlink_fair_power_control)\n",
    "is governed by two parameters:\n",
    "- the fairness parameter $f$, defined as in [[2]](#references).  \n",
    "  If $f=0$, then the sum of throughput is\n",
    "  maximized, favoring users with good channel conditions while potentially\n",
    "  leaving those in poor conditions without power.  \n",
    "  As $f$ increases, the allocation becomes more egalitarian across users;\n",
    "- the guaranteed power ratio $\\rho$, which defines the minimum power allocation\n",
    "  per user.\n",
    "\n",
    "To evaluate the impact of these two design parameters on the network performance, we\n",
    "evaluate the spectral efficiency distribution as $(f,\\rho)$ vary."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:13:27.491498Z",
     "iopub.status.busy": "2025-03-14T11:13:27.491200Z",
     "iopub.status.idle": "2025-03-14T11:13:27.496476Z",
     "shell.execute_reply": "2025-03-14T11:13:27.495867Z"
    }
   },
   "outputs": [],
   "source": [
    "def get_sinr_downlink(guaranteed_power_ratio,\n",
    "                      fairness_dl):\n",
    "    \"\"\" Compute the downlink SINR \"\"\"\n",
    "    # [batch_size, num_bs, num_ofdm_symbols, num_ut_per_sector]\n",
    "    dl_power_per_ut, _ = downlink_fair_power_control(\n",
    "        pathloss_serving_cell,\n",
    "        interference_dl + no,\n",
    "        num_allocated_subcarriers,\n",
    "        bs_max_power_dbm=bs_max_power_dbm,\n",
    "        guaranteed_power_ratio=guaranteed_power_ratio,\n",
    "        fairness=fairness_dl)\n",
    "\n",
    "    # Spread power uniformly across subcarriers\n",
    "    # [batch_size, num_bs, num_ut_per_sector, num_streams_per_ut, num_ofdm_sym, num_subcarriers]\n",
    "    dl_power = spread_across_subcarriers(\n",
    "        dl_power_per_ut,\n",
    "        is_scheduled,\n",
    "        num_tx=1)\n",
    "\n",
    "    dl_power = tf.reshape(dl_power,\n",
    "                          [batch_size, num_bs, num_streams_per_bs,\n",
    "                           num_ofdm_sym, num_subcarriers])\n",
    "\n",
    "    precoded_channel = RZFPrecodedChannel(resource_grid=resource_grid,\n",
    "                                          stream_management=stream_management_dl)\n",
    "    h_eff = precoded_channel(h_freq_dl, tx_power=dl_power, alpha=no)\n",
    "\n",
    "    lmmse_posteq_sinr = LMMSEPostEqualizationSINR(resource_grid=resource_grid,\n",
    "                                                  stream_management=stream_management_dl)\n",
    "\n",
    "    # [batch_size, num_ofdm_symbols, num_subcarriers, num_ut, num_streams_per_ut]\n",
    "    sinr = lmmse_posteq_sinr(h_eff, no=no, interference_whitening=True)\n",
    "    return sinr, dl_power_per_ut"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:13:27.498942Z",
     "iopub.status.busy": "2025-03-14T11:13:27.498638Z",
     "iopub.status.idle": "2025-03-14T11:13:34.436914Z",
     "shell.execute_reply": "2025-03-14T11:13:34.435928Z"
    }
   },
   "outputs": [],
   "source": [
    "# Fairness parameters to evaluate\n",
    "fairness_dl_vec = [0, .5, 1]\n",
    "\n",
    "# Guaranteed power ratio to evaluate\n",
    "guaranteed_power_ratio_vec = [0, .3]\n",
    "\n",
    "# Per-user spectral efficiency per user across (fairness, guaranteed power ratio) values\n",
    "se_per_ut_dl_mat = np.zeros([len(fairness_dl_vec),\n",
    "                             len(guaranteed_power_ratio_vec), num_ut*batch_size])\n",
    "dl_power_mat = np.zeros([len(fairness_dl_vec),\n",
    "                                len(guaranteed_power_ratio_vec), num_ut*batch_size])\n",
    "\n",
    "# Compute the spectral efficiency for each (fairness, guaranteed power ratio) pair\n",
    "for idx_guar, guaranteed_power_ratio in enumerate(guaranteed_power_ratio_vec):\n",
    "    for idx_fair, fairness_dl in enumerate(fairness_dl_vec):\n",
    "\n",
    "        # Compute SINR and DL power distribution\n",
    "        sinr, dl_power_per_ut = get_sinr_downlink(guaranteed_power_ratio, fairness_dl)\n",
    "\n",
    "        # Spectral efficiency\n",
    "        se_per_ut_dl_mat[idx_fair, idx_guar, :] = get_se(sinr).numpy().flatten()\n",
    "        # Power allocation\n",
    "        dl_power_mat[idx_fair, idx_guar, :] = dl_power_per_ut.numpy().mean(axis=2).flatten()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally, we visualize the spectral efficiency distribution across the different\n",
    "values of fairness $f$ and guaranteed power ratio $\\rho$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:13:34.441235Z",
     "iopub.status.busy": "2025-03-14T11:13:34.440851Z",
     "iopub.status.idle": "2025-03-14T11:13:34.756715Z",
     "shell.execute_reply": "2025-03-14T11:13:34.755934Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 500x800 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(len(guaranteed_power_ratio_vec),\n",
    "                        figsize=(5, 4*len(guaranteed_power_ratio_vec)))\n",
    "\n",
    "for idx_guar, guaranteed_power_ratio in enumerate(guaranteed_power_ratio_vec):\n",
    "    axs[idx_guar].set_title(r'Guaranteed power ratio $\\rho$ =' + f'{guaranteed_power_ratio}')\n",
    "    for idx_fair, fairness_dl in enumerate(fairness_dl_vec):\n",
    "        axs[idx_guar].plot(*get_cdf(se_per_ut_dl_mat[idx_fair, idx_guar, :]), label=f'Fairness $f$ = {fairness_dl}')\n",
    "    \n",
    "for ax in axs:\n",
    "    ax.grid()\n",
    "    ax.legend()\n",
    "    ax.set_xlabel('Per-user spectral efficiency [bps/Hz]')\n",
    "    ax.set_ylabel('Cumulative density function')\n",
    "fig.tight_layout()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The figure above shows that, as fairness $f$ increases, the spectral efficiency\n",
    "distribution tends to become more balanced, with fewer users receiving poor\n",
    "service but also fewer achieving high throughput.  \n",
    "It also demonstrates that by increasing the value of guaranteed power\n",
    "ratio $\\rho$ one can achieve a similar effect as by increasing $f$.\n",
    "\n",
    "It is also interesting to evaluate the power allocation distribution for\n",
    "different values of fairness $f$ and guaranteed power ratio $\\rho$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:13:34.762055Z",
     "iopub.status.busy": "2025-03-14T11:13:34.761737Z",
     "iopub.status.idle": "2025-03-14T11:13:34.920538Z",
     "shell.execute_reply": "2025-03-14T11:13:34.919911Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fairness_guar_ratio_vec = [(0, 0), (0, .5), (1, 0)]\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "for fairness, guaranteed_power_ratio in fairness_guar_ratio_vec:\n",
    "    idx_fair = np.argmin(np.abs(np.array(fairness_dl_vec) - fairness))\n",
    "    idx_guar = np.argmin(np.abs(np.array(guaranteed_power_ratio_vec) - guaranteed_power_ratio))\n",
    "    ax.plot(*get_cdf(dl_power_mat[idx_fair, idx_guar, :]), \n",
    "            label=fr'$f$={fairness_dl_vec[idx_fair]:.1f}, $\\rho$= {guaranteed_power_ratio_vec[idx_guar]:.1f}')\n",
    "\n",
    "ax.plot([dbm_to_watt(bs_max_power_dbm)]*2, [0, 1], 'k--', label='max BS power')\n",
    "ax.set_xlabel('Per-user downlink transmit power [W]')\n",
    "ax.set_ylabel('Cumulative density function')\n",
    "ax.legend()\n",
    "ax.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We observe that setting the fairness parameter $f=1$ results in a a roughly uniform power\n",
    "distribution.  \n",
    "In contrast, when $f=0$, power is only allocated to users with good\n",
    "channel conditions, leaving most users with no power at\n",
    "all. However, increasing the guaranteed power ratio $\\rho$ helps mitigate this effect.\n",
    "\n",
    "For computational efficiency, we recommend setting $f=0$ and\n",
    "choosing $\\rho >0$ to ensure that all users receive some power\n",
    "allocation."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Conclusions\n",
    "\n",
    "Power allocation in both uplink and downlink requires a global perspective on the network to ensure fairness across all served users.\n",
    "\n",
    "We provide two built-in functions for this purpose:\n",
    "\n",
    "- [open_loop_uplink_power_control](https://nvlabs.github.io/sionna/sys/api/power_control.html#sionna.sys.open_loop_uplink_power_control)\n",
    "  for uplink power allocation following the open-loop procedure described in 3GPP TS 38.213 [[1]](#references)\n",
    "- [downlink_fair_power_control](https://nvlabs.github.io/sionna/sys/api/power_control.html#sionna.sys.downlink_fair_power_control)\n",
    "  for fair downlink power allocation.\n",
    "\n",
    "Note that power control is closely tied to scheduling: once users are assigned\n",
    "to resource elements and streams, the transmission power is determined\n",
    "accordingly.   \n",
    "For more\n",
    "details on scheduling, refer to the [Proportional\n",
    "Fairness Scheduler\n",
    "notebook](https://nvlabs.github.io/sionna/sys/tutorials/Scheduling.html).\n",
    "The\n",
    "[System-Level Simulations\n",
    "notebook](https://nvlabs.github.io/sionna/sys/tutorials/End-to-End_Example.html)\n",
    "further illustrates how scheduling and power control interact.\n",
    "\n",
    "## References\n",
    "[1] 3GPP TS 38.213. \"NR; Physical layer procedures for control\"  \n",
    "[2] J. Mo, J. Walrand. *Fair end-to-end window-based congestion control*. IEEE/ACM Transactions on networking 8.5 (2000): 556-567."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.16"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
